Cook the pasta in boiling salted water for about 9 minutes until al dente. In the meantime, bring cream and milk to the boil, dice the cheese and let it melt in the hot cream. Season to taste with some stock.
Wash the chives, dab dry, cut into fine rolls and add to the sauce. Crush the pepper in a mortar. Tie the steaks with kitchen string and fry them in hot clarified butter for about 4 minutes on each side.
Season vigorously with salt and pepper. Drain the pasta and serve with the sauce to the fillets.